Geometry for elementary school/Print version - Wikibooks, collection...    http://en.wikibooks.org/wiki/Geometry_for_elementary_school/Print...
             Geometry for elementary school
             Print version
             From Wikibooks, the open-content textbooks collection
    1 of 72                                                                                                                      4/25/2007 2:13 PM
    Geometry for elementary school/Print version - Wikibooks, collection...    http://en.wikibooks.org/wiki/Geometry_for_elementary_school/Print...
             Book Chapters
                            Introduction
                            Our tools: Ruler and compass
                            Points
                            Lines
                            Constructing equilateral triangle
                            Copying a line segment
                            Constructing a triangle
                            Why the constructions are not correct?
                            The Side-Side-Side congruence theorem
                            Copying a triangle
                            Copying an angle
                            Bisecting an angle
                            The Side-Angle-Side congruence theorem
                            Bisecting a segment
                            Some impossible constructions
                            Pythagorean theorem
                            Parallel lines
                            Squares
                            A proof of irrationality
                            Fractals
                            What next?
                            Notation
             Feedback
             Feedback is very important in many topics, especially when writing a book like this. We would like to 
             learn from your experience using this book. What was the age of the child that used the book? What did 
             he like most? Which topics did he have problem understanding? What ideas for improvements do you 
             have?
             Help
             Questions & Answers
             Have a question? Why not ask the very textbook that you are learning from?
    2 of 72                                                                                                                      4/25/2007 2:13 PM
    Geometry for elementary school/Print version - Wikibooks, collection...    http://en.wikibooks.org/wiki/Geometry_for_elementary_school/Print...
             Further Reading
                     Geometry
             External Links
                     Euclid's Elements (http://aleph0.clarku.edu/~djoyce/java/elements/toc.html) 
    3 of 72                                                                                                                      4/25/2007 2:13 PM
    Geometry for elementary school/Print version - Wikibooks, collection...    http://en.wikibooks.org/wiki/Geometry_for_elementary_school/Print...
             Introduction
                                                             Geometry for elementary school
                                                                     Introduction                           Our tools: Ruler and 
                                                                                                                   compass
             Why geometry?
             Geometry is one of the most elegant fields in mathematics. It deals with visual shapes that we know from 
             everyday life, yet uses accurate proofs.
             Learning geometry does not require previous skills like basic arithmetic. Hence, geometry is suitable as an
             introduction to mathematics for elementary school.
             Who should use this book?
             This book is intended for use by a parent (or a teacher) and a child. It is recommended that the parent will 
             be a bit familiar with geometry but this is not necessary. The parent can simply read the chapter before 
             teaching the child and then learn it with it.
             Book guidelines
             The classic book about geometry is Euclid's Elements
             (http://aleph0.clarku.edu/~djoyce/java/elements/toc.html) . This book helped teaching geometry for 
             hundreds of years, so we feel that writing this book based on the elements is a correct step.
             We will adapt parts of the book for children, and modify the order of some topics, in order to make the 
             book clearer.
             The learning will be base on constructions and proofs. The constructions are useful for letting the child 
             experience geometric ideas and get visual results. The proofs are a good way to understand geometry and 
             are a good basis for future study of logic. Since the book is for children, we omit some of the proof details
             and use intuitive instead of precise definition. On the other hand, we insist on correct and elegant proofs. 
             Precise definitions and exact proofs can be found in regular geometry books and can be used to extend to 
             material to some of the children.
             Notation
             The notation that is used in the book is defined at the first time it is used. However, it order to simplify the 
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